TSTP Solution File: FLD067-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:37:40 EDT 2023
% Result : Unsatisfiable 153.67s 137.26s
% Output : CNFRefutation 153.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 99 ( 36 unt; 12 typ; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 182 ( 96 ~; 86 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 81 (; 81 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_or_equal > equalish > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > u > multiplicative_identity > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(u,type,
u: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(f_238,axiom,
defined(u),
file(unknown,unknown) ).
tff(f_173,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_126,axiom,
defined(additive_identity),
file(unknown,unknown) ).
tff(f_131,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X] :
( equalish(add(X,additive_inverse(X)),additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] :
( equalish(add(additive_identity,X),X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file(unknown,unknown) ).
tff(f_231,axiom,
! [Y,Z,X] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z)
| ~ equalish(X,Y) ),
file(unknown,unknown) ).
tff(f_242,axiom,
~ less_or_equal(additive_identity,u),
file(unknown,unknown) ).
tff(f_236,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_237,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y] :
( equalish(add(X,Y),add(Y,X))
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_240,axiom,
equalish(add(b,additive_inverse(a)),u),
file(unknown,unknown) ).
tff(f_239,axiom,
less_or_equal(a,b),
file(unknown,unknown) ).
tff(f_181,axiom,
! [X,Z,Y] :
( less_or_equal(add(X,Z),add(Y,Z))
| ~ defined(Z)
| ~ less_or_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_189,axiom,
! [Y,Z] :
( less_or_equal(additive_identity,multiply(Y,Z))
| ~ less_or_equal(additive_identity,Y)
| ~ less_or_equal(additive_identity,Z) ),
file(unknown,unknown) ).
tff(f_163,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file(unknown,unknown) ).
tff(f_155,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file(unknown,unknown) ).
tff(c_60,plain,
defined(u),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_36,plain,
! [Y_30,X_29] :
( ~ defined(Y_30)
| ~ defined(X_29)
| less_or_equal(Y_30,X_29)
| less_or_equal(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_191,plain,
! [Y_30] :
( ~ defined(Y_30)
| less_or_equal(Y_30,Y_30) ),
inference(factorization,[status(thm),theory(equality)],[c_36]) ).
tff(c_22,plain,
defined(additive_identity),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_24,plain,
! [X_20] :
( ~ defined(X_20)
| defined(additive_inverse(X_20)) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_99,plain,
! [X_64] :
( ~ defined(X_64)
| equalish(add(X_64,additive_inverse(X_64)),additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_44,plain,
! [Y_38,X_37] :
( ~ equalish(Y_38,X_37)
| equalish(X_37,Y_38) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_102,plain,
! [X_64] :
( equalish(additive_identity,add(X_64,additive_inverse(X_64)))
| ~ defined(X_64) ),
inference(resolution,[status(thm)],[c_99,c_44]) ).
tff(c_4,plain,
! [X_4] :
( ~ defined(X_4)
| equalish(add(additive_identity,X_4),X_4) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_107,plain,
! [Y_66,Z_67,X_68] :
( ~ equalish(Y_66,Z_67)
| ~ equalish(X_68,Y_66)
| equalish(X_68,Z_67) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_1247,plain,
! [X_136,X_137] :
( ~ equalish(X_136,add(additive_identity,X_137))
| equalish(X_136,X_137)
| ~ defined(X_137) ),
inference(resolution,[status(thm)],[c_4,c_107]) ).
tff(c_1271,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity))
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[c_102,c_1247]) ).
tff(c_1298,plain,
( equalish(additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1271]) ).
tff(c_1334,plain,
~ defined(additive_inverse(additive_identity)),
inference(splitLeft,[status(thm)],[c_1298]) ).
tff(c_1337,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_24,c_1334]) ).
tff(c_1341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1337]) ).
tff(c_1342,plain,
equalish(additive_identity,additive_inverse(additive_identity)),
inference(splitRight,[status(thm)],[c_1298]) ).
tff(c_46,plain,
! [Y_41,Z_40,X_39] :
( ~ equalish(Y_41,Z_40)
| ~ equalish(X_39,Y_41)
| equalish(X_39,Z_40) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_1447,plain,
! [X_143] :
( ~ equalish(X_143,additive_identity)
| equalish(X_143,additive_inverse(additive_identity)) ),
inference(resolution,[status(thm)],[c_1342,c_46]) ).
tff(c_52,plain,
! [X_50,Y_48,Z_49] :
( ~ equalish(X_50,Y_48)
| ~ less_or_equal(X_50,Z_49)
| less_or_equal(Y_48,Z_49) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_29263,plain,
! [X_516,Z_517] :
( ~ less_or_equal(X_516,Z_517)
| less_or_equal(additive_inverse(additive_identity),Z_517)
| ~ equalish(X_516,additive_identity) ),
inference(resolution,[status(thm)],[c_1447,c_52]) ).
tff(c_31117,plain,
! [Y_526] :
( less_or_equal(additive_inverse(additive_identity),Y_526)
| ~ equalish(Y_526,additive_identity)
| ~ defined(Y_526) ),
inference(resolution,[status(thm)],[c_191,c_29263]) ).
tff(c_1379,plain,
equalish(additive_inverse(additive_identity),additive_identity),
inference(resolution,[status(thm)],[c_1342,c_44]) ).
tff(c_1386,plain,
! [Z_49] :
( ~ less_or_equal(additive_inverse(additive_identity),Z_49)
| less_or_equal(additive_identity,Z_49) ),
inference(resolution,[status(thm)],[c_1379,c_52]) ).
tff(c_31414,plain,
! [Y_528] :
( less_or_equal(additive_identity,Y_528)
| ~ equalish(Y_528,additive_identity)
| ~ defined(Y_528) ),
inference(resolution,[status(thm)],[c_31117,c_1386]) ).
tff(c_66,plain,
~ less_or_equal(additive_identity,u),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_31455,plain,
( ~ equalish(u,additive_identity)
| ~ defined(u) ),
inference(resolution,[status(thm)],[c_31414,c_66]) ).
tff(c_31487,plain,
~ equalish(u,additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_31455]) ).
tff(c_56,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_58,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_435,plain,
! [Y_93,X_94] :
( ~ defined(Y_93)
| ~ defined(X_94)
| equalish(add(X_94,Y_93),add(Y_93,X_94)) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_64,plain,
equalish(add(b,additive_inverse(a)),u),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_133,plain,
! [X_68] :
( ~ equalish(X_68,add(b,additive_inverse(a)))
| equalish(X_68,u) ),
inference(resolution,[status(thm)],[c_64,c_107]) ).
tff(c_439,plain,
( equalish(add(additive_inverse(a),b),u)
| ~ defined(b)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[status(thm)],[c_435,c_133]) ).
tff(c_448,plain,
( equalish(add(additive_inverse(a),b),u)
| ~ defined(additive_inverse(a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_439]) ).
tff(c_499,plain,
~ defined(additive_inverse(a)),
inference(splitLeft,[status(thm)],[c_448]) ).
tff(c_502,plain,
~ defined(a),
inference(resolution,[status(thm)],[c_24,c_499]) ).
tff(c_506,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_502]) ).
tff(c_508,plain,
defined(additive_inverse(a)),
inference(splitRight,[status(thm)],[c_448]) ).
tff(c_62,plain,
less_or_equal(a,b),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_38,plain,
! [X_31,Y_33,Z_32] :
( ~ less_or_equal(X_31,Y_33)
| ~ defined(Z_32)
| less_or_equal(add(X_31,Z_32),add(Y_33,Z_32)) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_6,plain,
! [X_5] :
( ~ defined(X_5)
| equalish(add(X_5,additive_inverse(X_5)),additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_135,plain,
! [X_69,Y_70,Z_71] :
( ~ equalish(X_69,Y_70)
| ~ less_or_equal(X_69,Z_71)
| less_or_equal(Y_70,Z_71) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_2209,plain,
! [X_158,Z_159] :
( ~ less_or_equal(add(X_158,additive_inverse(X_158)),Z_159)
| less_or_equal(additive_identity,Z_159)
| ~ defined(X_158) ),
inference(resolution,[status(thm)],[c_6,c_135]) ).
tff(c_2260,plain,
! [Y_33,X_31] :
( less_or_equal(additive_identity,add(Y_33,additive_inverse(X_31)))
| ~ defined(X_31)
| ~ less_or_equal(X_31,Y_33)
| ~ defined(additive_inverse(X_31)) ),
inference(resolution,[status(thm)],[c_38,c_2209]) ).
tff(c_69,plain,
! [Y_53,X_54] :
( ~ equalish(Y_53,X_54)
| equalish(X_54,Y_53) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_74,plain,
equalish(u,add(b,additive_inverse(a))),
inference(resolution,[status(thm)],[c_64,c_69]) ).
tff(c_160,plain,
! [Z_71] :
( ~ less_or_equal(u,Z_71)
| less_or_equal(add(b,additive_inverse(a)),Z_71) ),
inference(resolution,[status(thm)],[c_74,c_135]) ).
tff(c_319,plain,
! [Z_86,Y_87] :
( ~ less_or_equal(additive_identity,Z_86)
| ~ less_or_equal(additive_identity,Y_87)
| less_or_equal(additive_identity,multiply(Y_87,Z_86)) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_34,plain,
! [Y_28,Z_27,X_26] :
( ~ less_or_equal(Y_28,Z_27)
| ~ less_or_equal(X_26,Y_28)
| less_or_equal(X_26,Z_27) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_5712,plain,
! [X_235,Y_236,Z_237] :
( ~ less_or_equal(X_235,additive_identity)
| less_or_equal(X_235,multiply(Y_236,Z_237))
| ~ less_or_equal(additive_identity,Z_237)
| ~ less_or_equal(additive_identity,Y_236) ),
inference(resolution,[status(thm)],[c_319,c_34]) ).
tff(c_161,plain,
! [Z_71] :
( ~ less_or_equal(add(b,additive_inverse(a)),Z_71)
| less_or_equal(u,Z_71) ),
inference(resolution,[status(thm)],[c_64,c_135]) ).
tff(c_5810,plain,
! [Y_236,Z_237] :
( less_or_equal(u,multiply(Y_236,Z_237))
| ~ less_or_equal(add(b,additive_inverse(a)),additive_identity)
| ~ less_or_equal(additive_identity,Z_237)
| ~ less_or_equal(additive_identity,Y_236) ),
inference(resolution,[status(thm)],[c_5712,c_161]) ).
tff(c_277320,plain,
~ less_or_equal(add(b,additive_inverse(a)),additive_identity),
inference(splitLeft,[status(thm)],[c_5810]) ).
tff(c_277376,plain,
~ less_or_equal(u,additive_identity),
inference(resolution,[status(thm)],[c_160,c_277320]) ).
tff(c_277409,plain,
( ~ defined(u)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,u) ),
inference(resolution,[status(thm)],[c_36,c_277376]) ).
tff(c_277437,plain,
less_or_equal(additive_identity,u),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_60,c_277409]) ).
tff(c_277439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_277437]) ).
tff(c_277441,plain,
less_or_equal(add(b,additive_inverse(a)),additive_identity),
inference(splitRight,[status(thm)],[c_5810]) ).
tff(c_32,plain,
! [Y_25,X_24] :
( ~ less_or_equal(Y_25,X_24)
| ~ less_or_equal(X_24,Y_25)
| equalish(X_24,Y_25) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_277497,plain,
( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
| equalish(additive_identity,add(b,additive_inverse(a))) ),
inference(resolution,[status(thm)],[c_277441,c_32]) ).
tff(c_403163,plain,
~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
inference(splitLeft,[status(thm)],[c_277497]) ).
tff(c_403183,plain,
( ~ defined(a)
| ~ less_or_equal(a,b)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[status(thm)],[c_2260,c_403163]) ).
tff(c_403203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_508,c_62,c_56,c_403183]) ).
tff(c_403204,plain,
equalish(additive_identity,add(b,additive_inverse(a))),
inference(splitRight,[status(thm)],[c_277497]) ).
tff(c_403277,plain,
equalish(additive_identity,u),
inference(resolution,[status(thm)],[c_403204,c_133]) ).
tff(c_403316,plain,
equalish(u,additive_identity),
inference(resolution,[status(thm)],[c_403277,c_44]) ).
tff(c_403339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31487,c_403316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 19:45:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 153.67/137.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 153.67/137.27
% 153.67/137.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 153.67/137.31
% 153.67/137.31 Inference rules
% 153.67/137.31 ----------------------
% 153.67/137.31 #Ref : 0
% 153.67/137.31 #Sup : 87937
% 153.67/137.31 #Fact : 30
% 153.67/137.31 #Define : 0
% 153.67/137.31 #Split : 97
% 153.67/137.31 #Chain : 0
% 153.67/137.31 #Close : 0
% 153.67/137.31
% 153.67/137.31 Ordering : KBO
% 153.67/137.31
% 153.67/137.31 Simplification rules
% 153.67/137.31 ----------------------
% 153.67/137.31 #Subsume : 23050
% 153.67/137.31 #Demod : 49689
% 153.67/137.31 #Tautology : 14491
% 153.67/137.31 #SimpNegUnit : 2112
% 153.67/137.31 #BackRed : 0
% 153.67/137.31
% 153.67/137.31 #Partial instantiations: 0
% 153.67/137.31 #Strategies tried : 1
% 153.67/137.31
% 153.67/137.31 Timing (in seconds)
% 153.67/137.31 ----------------------
% 153.67/137.31 Preprocessing : 0.50
% 153.67/137.31 Parsing : 0.28
% 153.67/137.31 CNF conversion : 0.03
% 153.67/137.31 Main loop : 135.65
% 153.67/137.31 Inferencing : 10.67
% 153.67/137.31 Reduction : 64.21
% 153.67/137.31 Demodulation : 52.53
% 153.67/137.31 BG Simplification : 0.35
% 153.67/137.31 Subsumption : 48.06
% 153.67/137.31 Abstraction : 0.66
% 153.67/137.31 MUC search : 0.00
% 153.67/137.31 Cooper : 0.00
% 153.67/137.31 Total : 136.22
% 153.67/137.31 Index Insertion : 0.00
% 153.67/137.31 Index Deletion : 0.00
% 153.67/137.31 Index Matching : 0.00
% 153.67/137.31 BG Taut test : 0.00
%------------------------------------------------------------------------------